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Finding the Fourth Proportional to 7,793.09, 10,754.38 and 4,807.73

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Solution

The fourth proportional to 7,793.09, 10,754.38 and 4,807.73 is: 6,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.09 : 10,754.38 = 4,807.73 : x
  2. Step 2: Convert to fraction form
    7,793.09/10,754.38 = 4,807.73/x
  3. Step 3: Cross multiply
    7,793.09x = 10,754.38 × 4,807.73
  4. Step 4: Simplify right side
    7,793.09x = 51,704,155.36
  5. Step 5: Solve for x
    x = 51,704,155.36/7,793.09
  6. Step 6: Final answer
    x = 6,634.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.